1. Convert the equation f(t)=132(1.06)tf(t)=132(1.06)t to the form f(t)=aektf(t)=aekt. Write your answer using function notation. Round all values to three decimal places

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 6ECP: The resistance of a copper wire carrying an electrical current is directly proportional to its...
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1. Convert the equation f(t)=132(1.06)tf(t)=132(1.06)t to the form f(t)=aektf(t)=aekt. Write your answer using function notation. Round all values to three decimal places

2. Convert the formulaf(t)=270e−0.01tf(t)=270e-0.01t to the form f(t)=abtf(t)=abt. Write your answer using function notation. Give answers accurate to three decimal places

3. Convert the equation f(t)=211(0.98)tf(t)=211(0.98)t to the form f(t)=aektf(t)=aekt. Write your answer using function notation. Round all values to three decimal places

4. Convert the formulaf(t)=177e−0.19tf(t)=177e-0.19t to the form f(t)=abtf(t)=abt. Write your answer using function notation. Give answers accurate to three decimal places

5. A population of bacteria is growing according to the equation P(t)=800e0.14tP(t)=800e0.14t.

Use a graphing utility (GeoGebra, Desmos, or calculator, for example) to estimate when the population will exceed 1987.

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